Pith Number

pith:R6BJ3XG6

pith:2012:R6BJ3XG6MJVIKRM5NHJP6AAGXE

not attested not anchored not stored refs pending

Equivariant Cohomology of Infinite-Dimensional Grassmannian and Shifted Schur Functions

Albert Schwarz, Jia-Ming Liou

arxiv:1201.2554 v1 · 2012-01-12 · math.AG · math.AT · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6BJ3XG6MJVIKRM5NHJP6AAGXE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:04:44.162963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f829ddcde626a85459d69d2ff0006b903061c20fedaa4a7c217101cc3d4df22

Aliases

arxiv: 1201.2554 · arxiv_version: 1201.2554v1 · doi: 10.48550/arxiv.1201.2554 · pith_short_12: R6BJ3XG6MJVI · pith_short_16: R6BJ3XG6MJVIKRM5 · pith_short_8: R6BJ3XG6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/R6BJ3XG6MJVIKRM5NHJP6AAGXE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8f829ddcde626a85459d69d2ff0006b903061c20fedaa4a7c217101cc3d4df22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd56bb924e56c7ad6e10fcc044cbe7f0479eb991ee9e73bef5b5826fa17f06c6",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-12T12:58:58Z",
    "title_canon_sha256": "4b2d7bd4098194783adbc8813df26c060c05c8709d332e0eda9e161f76bb845e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2554",
    "kind": "arxiv",
    "version": 1
  }
}